10C of charge start from the negative terminal of a battery, flow through the battery and then leave the positive terminal through a wire, flow through a resistor and then return to the starting point on this circuit. In this complete process, the 10C....

Options

A. Have no net change in potential energy
B. Receive heat energy from the resistor
C. Have a net loss of potential energy
D. Do positive work on the battery

Answer

To solve the question regarding the 10 Coulomb charge flowing through a circuit, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Circuit**:
- We have a circuit that includes a battery and a resistor. The charge starts from the negative terminal of the battery, flows through the circuit, and returns to the starting point.

2. **Applying Kirchhoff’s Voltage Law (KVL)**:
- Kirchhoff's Voltage Law states that the algebraic sum of all potential differences in a closed circuit is zero. This means that when the charge completes a full cycle in the circuit, the total voltage gained and lost must balance out to zero.

3. **Initial Potential Energy Calculation**:
- The initial potential energy (U) of the charge can be calculated using the formula:
\[ U = Q \times V \]
where \(Q\) is the charge (10 C) and \(V\) is the potential at the starting point.

4. **Completing the Circuit**:
- As the charge moves through the circuit, it may gain or lose energy due to the resistor. However, when it returns to the starting point, according to KVL, the potential at this point will be the same as it was initially.

5. **Final Potential Energy Calculation**:
- After completing the cycle, the potential energy of the charge will still be:
\[ U' = Q \times V \]
Since the potential \(V\) remains the same, the potential energy does not change.

6. **Conclusion**:
- Since the charge returns to its original position with the same potential, there is no net change in potential energy. Thus, the correct answer to the question is that the 10 Coulomb charge has no net change in potential energy.

### Answer:
The correct option is that the 10 Coulomb charge has **no net change in potential energy**.

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